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Inglenook Shunting Puzzles

Combinatorics 2019-04-04 v2 Discrete Mathematics

Abstract

An inglenook puzzle is a classic shunting (switching) puzzle often found on model railway layouts. A collection of wagons sits in a fan of sidings with a limited length headshunt (lead track). The aim of the puzzle is to rearrange the wagons into a desired order (often a randomly chosen order). This article answers the question: When can you be sure this can always be done? The problem of finding a solution in a minimum number of moves is also addressed.

Cite

@article{arxiv.1810.07970,
  title  = {Inglenook Shunting Puzzles},
  author = {Simon R. Blackburn},
  journal= {arXiv preprint arXiv:1810.07970},
  year   = {2019}
}

Comments

23 pages, 4 figures. Minor typos in previous version corrected

R2 v1 2026-06-23T04:44:20.105Z